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Finding the Fourth Proportional to 378,923.76, 567,893.32 and 154,022.24

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Solution

The fourth proportional to 378,923.76, 567,893.32 and 154,022.24 is: 230,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,923.76 : 567,893.32 = 154,022.24 : x
  2. Step 2: Convert to fraction form
    378,923.76/567,893.32 = 154,022.24/x
  3. Step 3: Cross multiply
    378,923.76x = 567,893.32 × 154,022.24
  4. Step 4: Simplify right side
    378,923.76x = 87,468,202,262.11
  5. Step 5: Solve for x
    x = 87,468,202,262.11/378,923.76
  6. Step 6: Final answer
    x = 230,833.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.